The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: New framework, critical comparison and an application to COVID-19 (SARS …

Y Sabbar, D Kiouach, SP Rajasekar… - Chaos, Solitons & …, 2022 - Elsevier
This study concentrates on the analysis of a stochastic SIC epidemic system with an
enhanced and general perturbation. Given the intricacy of some impulses caused by …

[HTML][HTML] Stochastic modeling of three-species Prey–Predator model driven by Lévy Jump with Mixed Holling-II and Beddington–DeAngelis functional responses

J Danane, M Yavuz, M Yıldız - Fractal and Fractional, 2023 - mdpi.com
This study examines the dynamics of a stochastic prey–predator model using a functional
response function driven by Lévy noise and a mixed Holling-II and Beddington–DeAngelis …

Global analysis of a fractional-order viral model with lytic and non-lytic adaptive immunity

M Naim, Z Yaagoub, A Zeb, M Sadki, K Allali - Modeling Earth Systems …, 2024 - Springer
In this paper, we suggest a new fractional virus model with two routes of infection. The first is
the usual virus-to-cell infection and the other is the direct transmission of cell-to-cell. The …

Data-driven modelling and dynamic analysis of the multistable energy harvester with non-Gaussian Lévy noise

Y Zhang, Y Li, Y ** - Applied Mathematical Modelling, 2024 - Elsevier
In engineering, due to the complex structural characteristics of system and the non-Gaussian
properties of random excitation, it is difficult to establish an accurate stochastic dynamic …

Colored Lévy noise-induced stochastic dynamics in a tri-stable hybrid energy harvester

Y Zhang, Y ** - Journal of Computational and …, 2021 - asmedigitalcollection.asme.org
The piezoelectric and electromagnetic hybrid vibration energy harvester (HVEH) has proven
to be a favorable option to deal with the low power generation issue and overcome the …

Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise

M Sadki, K Allali - Mathematical Biosciences, 2024 - Elsevier
In this paper, we introduce a stochastic two-strain epidemic model driven by Lévy noise
describing the interaction between four compartments; susceptible, infected individuals by …

Extracting non-Gaussian governing laws from data on mean exit time

Y Zhang, J Duan, Y **, Y Li - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
Motivated by the existing difficulties in establishing mathematical models and in observing
state time series for some complex systems, especially for those driven by non-Gaussian …

Acute threshold dynamics of an epidemic system with quarantine strategy driven by correlated white noises and Lévy jumps associated with infinite measure

Y Sabbar, D Kiouach, SP Rajasekar - International Journal of Dynamics …, 2023 - Springer
Several studies have previously been conducted on the dynamics of probabilistic epidemic
models driven by Lévy disorder. All of these works have used the Poisson counting process …

A non-local fokker-planck equation with application to probabilistic evaluation of sediment replenishment projects

H Yoshioka, K Hamagami, H Tomobe - Methodology and Computing in …, 2023 - Springer
We analyze a new mathematical model to evaluate performance of recent sediment-based
environmental restoration projects from a stochastic viewpoint along with applications. We …

Three-Species Predator–Prey Stochastic Delayed Model Driven by Lévy Jumps and with Cooperation among Prey Species

J Danane, DFM Torres - Mathematics, 2023 - mdpi.com
Our study focuses on analyzing the behavior of a stochastic predator–prey model with a time
delay and logistic growth of prey, influenced by Lévy noise. Initially, we establish the …